Sensitivity of temporal moments calculated by the adjoint-state method and joint inversing of head and tracer data

نویسندگان

  • Olaf A. Cirpka
  • Peter K. Kitanidis
چکیده

Including tracer data into geostatistically based methods of inverse modeling is computationally very costly when all concentration measurements are used and the sensitivities of many observations are calculated by the direct di€erentiation approach. Harvey and Gorelick (Water Resour Res 1995;31(7):1615±26) have suggested the use of the ®rst temporal moment instead of the complete concentration record at a point. We derive a computationally ecient adjoint-state method for the sensitivities of the temporal moments that require the solution of the steady-state ̄ow equation and two steady-state transport equations for the forward problem and the same number of equations for each ®rst-moment measurement. The eciency of the method makes it feasible to evaluate the sensitivity matrix many times in large domains. We incorporate our approach for the calculation of sensitivities in the quasi-linear geostatistical method of inversing (``iterative cokriging''). The application to an arti®cial example of a tracer introduced into an injection well shows good convergence behavior when both head and ®rst-moment data are used for inversing, whereas inversing of arrival times alone is less stable. Ó 2000 Elsevier Science Ltd. All rights reserved.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Discretized Adjoint State Time and Frequency Domain Full Waveform Inversion: A Comparative Study

This study derives the discretized adjoint states full waveform inversion (FWI) in both time and frequency domains based on the Lagrange multiplier method. To achieve this, we applied adjoint state inversion on the discretized wave equation in both time domain and frequency domain. Besides, in this article, we introduce reliability tests to show that the inversion is performing as it should be ...

متن کامل

Extraction of model parameters for reactive solute transport

In the present study, tried to examine the reactive solute relationships for transport and degradation processes through the rockfill media. By applying the analytical solution of reactive transport, the 1st to 3rd theoretical temporal moments have been extracted then, by using two methods of curve fitting and temporal moment matching, the coefficients of dispersion and degradation have been ex...

متن کامل

بررسی اثر کفش طبی با راکر پاشنه تا پنجه بر روی گشتاورهای وارد بر مفصل مچ پا و پارامترهای فضایی و زمانی راه رفتن در دانشجویان دختر

Background : Rocker shoes are the most commonly prescribed external therapeutic shoe modification and are used for treatment of the ankle and midfoot problems. The aim of this study was to assesse the effects of the heel- to-toe rocker shoes on temporal-spatial and ankle joint moments in sagital and frontal plane. Materials and Methods: In this quasi-exprimental study, three-dimentional gait an...

متن کامل

An Improved ISM Equation of State for Polar Fluids

We developed an equation of state (EOS) by Ihm, Song, and Mason (ISM) for polar fluids. The model consists of four parameters, namely, the second virial coefficient, an effective van der Waals co-volume, a scaling factor, and the reduced dipole moment. The second virial coefficient is calculated from a correlation that uses the heat of vaporization, and the liquid density at the normal boiling ...

متن کامل

Stability Assessment of the Flexible System using Redundancy

In this study, dynamic behavior of a mooring line in a floating system is analyzed by probability approaches. In dynamics, most researches have shown the system model and environments by mathematical expression. We called this process as the forward dynamics. However, there is a limit to define the exact environments because of uncertainty. To consider uncertainty, we introduce the redundancy i...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000